ASSESSMENT OF THE DISCRETIZATION SCHEME FOR CURRENT CONTINUITY EQUATION
电流连续性方程离散技术优劣判据

This paper presents a set of basic criteria to assess discretization schemes, which provides for choosing a proper discretization scheme of current continuity equation. According to the basic criteria, this paper also presents a new finite difference scheme. Both error analysis and numerical results show that the present scheme is superior to the Scharfetter-Gummel (SG) and Streamline Upwind Petrov/Garlerkin (SUPG) schemes in which the basic criteria are not satisfied.